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Finding the Third Proportional to 89,677,036 and 186,511,211

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Solution

The third proportional to 89,677,036 and 186,511,211 is: 387,907,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,677,036 : 186,511,211 = 186,511,211 : x
  2. Step 2: Convert to fraction form
    89,677,036/186,511,211 = 186,511,211/x
  3. Step 3: Cross multiply
    89,677,036x = 186,511,211 × 186,511,211
  4. Step 4: Simplify right side
    89,677,036x = 34,786,431,828,686,520
  5. Step 5: Solve for x
    x = 34,786,431,828,686,520/89,677,036
  6. Step 6: Final answer
    x = 387,907,912.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.